{"title":"关于多值上下文的概念格构造","authors":"Jianjun Qi, Ling Wei, Hui-Yan Hong","doi":"10.1109/ICMLC.2011.6016910","DOIUrl":null,"url":null,"abstract":"The concept lattice construction of many-valued contexts is an important issue in the theory of concept lattices. Inspired by the idea of combined concept lattices, this paper gives an approach to construct the concept lattice of a many-valued context. The many-valued context can be firstly transformed to many formal contexts according to the number of attributes. Then, a Galois connection is established to obtain a concept lattice, which can be considered as the lattice of the many-valued context. Finally, we show that the lattice obtained by such method is a subset of the lattice of combined context of those formal contexts.","PeriodicalId":228516,"journal":{"name":"2011 International Conference on Machine Learning and Cybernetics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Concept lattice construction about many-valued contexts\",\"authors\":\"Jianjun Qi, Ling Wei, Hui-Yan Hong\",\"doi\":\"10.1109/ICMLC.2011.6016910\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept lattice construction of many-valued contexts is an important issue in the theory of concept lattices. Inspired by the idea of combined concept lattices, this paper gives an approach to construct the concept lattice of a many-valued context. The many-valued context can be firstly transformed to many formal contexts according to the number of attributes. Then, a Galois connection is established to obtain a concept lattice, which can be considered as the lattice of the many-valued context. Finally, we show that the lattice obtained by such method is a subset of the lattice of combined context of those formal contexts.\",\"PeriodicalId\":228516,\"journal\":{\"name\":\"2011 International Conference on Machine Learning and Cybernetics\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2011.6016910\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2011.6016910","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Concept lattice construction about many-valued contexts
The concept lattice construction of many-valued contexts is an important issue in the theory of concept lattices. Inspired by the idea of combined concept lattices, this paper gives an approach to construct the concept lattice of a many-valued context. The many-valued context can be firstly transformed to many formal contexts according to the number of attributes. Then, a Galois connection is established to obtain a concept lattice, which can be considered as the lattice of the many-valued context. Finally, we show that the lattice obtained by such method is a subset of the lattice of combined context of those formal contexts.